what is the surface area of a sphere with a radius of three

Answer:

\(Given:-\)

\(volume: \pi r^2h/3\)

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hope it helps...

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Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

Answer:

Perimeter = 9x + 6

Step-by-step explanation:

Perimeter = x+14 + x-1 + x+5 + 3x + 2x-10 + x-2

Perimeter = 9x + 14 + 5 - 1 - 10 - 2

Perimeter = 9x + 19 - 13

Perimeter = 9x + 6

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

As per the concept of confidence interval the risk factors are

a. Large-sample confidence intervals should never be used when the sample proportion is smaller than 0.05.

d. We can't assume that the sampling distribution of ^p is approximately Normal because n(p) < 10.

Confidence intervals are a range of values that provide a measure of how confident we are about our estimate of a population parameter.

Now, let's consider the National AIDS Behavioral Surveys sample of 2673 adult heterosexuals. We want to estimate the proportion of the population who have both received a blood transfusion and have a sexual partner from a group at high risk of AIDS.

The sample proportion is 0.2% (0.002 as a proportion). However, we can't use the large-sample confidence interval to estimate the population proportion for several reasons.

Firstly, it's not a rule that we can't use large-sample confidence intervals when the sample proportion is smaller than 0.05. The 0.05 threshold is often used as a guideline, but it's not a strict rule.

Secondly, while the sample size is large, with 2673 observations, this doesn't necessarily mean we can use a large-sample confidence interval. We need to check whether certain assumptions hold, such as the sample being random and independent, and the sample size being large enough.

Finally, the main reason why we can't use the large-sample confidence interval is that the assumption of a Normal sampling distribution doesn't hold. This assumption is necessary for constructing a large-sample confidence interval.

In particular, we can't assume that the sampling distribution of the sample proportion (^p) is approximately Normal because the product n*p is less than 10. This means that the sample size is not large enough to guarantee a Normal distribution.

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Answer:

C

Step-by-step explanation:

1014=0.75s

1014/0.75=s is the same as 1014/s=0.75

Answer:

B and D

Step-by-step explanation: I got it right

Answer:

- 50

Step-by-step explanation:

Given the equation :

2x³ - z

x = - 3 ; z = - 4

Substituting the values into the equation :

2(-3)³ - (-4)

-3³ = - 27

Hence,

2(-27) - (-4)

-54 + 4

= -50

2x³ - z at x = - 3 and z = - 4 is - 50

You will need to use the information in the table you are given. Subtract: (final velocity - initial velocity) and divide by (final time - initial time).

Leg-A:  

Speed = 15km/10min = 1.5 km/min

Leg-B:  

Speed = 20km/15min = (1 and 1/3) km/min

Leg-C  

Speed = 24km/12min = 2 km/min

Leg-D:  

Speed = 36km/9min = 4 km/min

Leg-E:  

Speed = 14km/14min = 1 km/min

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

Step-by-step explanation:

If a mass of 2.5 grams costs a penny, we want to know the amount of mass that will cost $75.  Before we get the mass, we need to convert 75 dollars to penny. Using the conversion:

$1 = 100pennies

$75 = (75*100)pennies

$75 = 7,500 pennies

Using the law of equivalence

1 penny = 2.5 grams

7,500pennies = x grams

Cross multiply

1 * x = 2.5 * 7500

x = 18,750 grams

Hence 18,759 grams will cost $75

Converting grams to kilograms

If 1000 grams = 1kg

18,750grams -= y

cross multiply

1000*y = 18750

Divide both sides by 1000

1000y = 18750/1000

y = 18.750kg

Hence the amount in kilogram of $75 coin in pennies is 18.750kg

Answer:

Step-by-step explanation:

3/4 hours=3/4×60=45 minutes

10:15+5.45 hrs=16:00+0:35=16:35=4.35 pm

so C

Answer:

x = -4 and  y = -9  or (-4,-9)

Step-by-step explanation:

6x-2y=-6

-5x+y=11       add the two equations together combining like terms

________

x-y=5

x=5+y

Substitute for x in terms of y

6(5+y)-2y =-6

30+6y -2y=-6

4y = -36

y=-36/4

y=-9

Substitute -9 for y into any equation to find x

x=5+y

x=5-9

x=-4

check your work by plugging your answers into any equation

-5(-4)+(-9) =11

20-9=11

11=11   the answers verify

Answer:

The answer is

Step-by-step explanation:

Cross multiply

We have

f(6 + y) = rw

6f + fy = rw

Move 6f to the right side of the equation to make fy stand alone

That's

fy = rw - 6f

Divide both sides by f to isolate y

That's

We have the final answer as

Hope this helps you

Answer:

y=3x+12

Step-by-step explanation:

Use this formula: y-y1=m(x-x1)
(y-Your y point=slope(x-Your x point)

Point= (-2, 6), Slope= 3

(Anything negative, you add. Anything positive, you subtract.)

Plug in your values: y-6=3(x+2)
distribute: y-6=3x+6
Add six to both sides of the equation:y-6(+6)=3x+6(+6)
We get our answer: y=3x+12
Hope this helps!! :)

Answer: A, B, and E in edginuity

Step-by-step explanation:

The first, second, and last one

-The expression is not defined when t=0

-The first step is to use the order of operations and simplify the expression inside the parentheses

-The numerator will be simplified to 13t-2

Answer: A, B, & E is correct on Edg!

Step-by-step explanation: Just got it right

The per capita emissions for each country is:

Using this formula to find the  Per capita emissions for each country

Per capita emissions = C02 Emission (tons of carbon dioxide ) /  Total emissions by population

China

Per capita emissions =8,782,000,000/1,359,750,000

Per capita emissions = 6.46

United States

Per capita emissions =5,144,000,000/316,597,000

Per capita emissions= 16.25

India

Per capita emissions = 2,185,000,000 /1,233,460,000

Per capita emissions = 1.77

Russia

Per capita emissions=1,646,000,000/143,400,000

Per capita emissions = 11.48

Japan

Per capita emissions = 1,232,000,000/127,310,000

Per capita emissions = 9.68

Germany

Per capita emissions = 733,000,000/80,523,700

Per capita emissions = 9.10

Iran

Per capita emissions = 583,000,000/76,876,000

Per capita emissions = 7.58

South Korea

Per capita emissions = 576,000,000/50,219,669

Per capita emissions = 11.47

Indonesia

Per capita emissions = 535,000,000/237,641,326

Per capita emissions = 2.25

Canada

Per capita emissions = 528,000,000/35,141,542

Per capita emissions =15.02

Therefore China per capita emissions is 6.46.

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Answer:

14.11

Step-by-step explanation:

24 divided by 1.7

Answer:

14.117

Step-by-step explanation:

that is the answer to your problem

Answer:

4.78 m

Step-by-step explanation:

From cm to m, you would need to divide 100 to get your conversion answer which is 4.78 m.

Answer:

0 muffins and 8 cookies

6 muffins and 4 cookies

Explain:

These are the only two combinations of muffins and cookies that Jordan could have sold to earn $24. If Jordan sold 0 muffins and 8 cookies, they would have earned $24 because 0 x $3 + 8 x $2 = $24. If Jordan sold 6 muffins and 4 cookies, they would have earned $24 because 6 x $3 + 4 x $2 = $24.

The surface areas for each figures are:

1. The surface area of the cuboid is:

Top and bottom: 2(10 ft x 4 ft) = 80 ft²

Front and back: 2(10 ft x 5 ft) = 100 ft²

Sides: 2(4 ft x 5 ft) = 40 ft²

Total surface area = 80 + 100 + 40 = 220 ft²

2. The surface area of the cuboid is:

Top and bottom: 2(18 cm x 5 cm) = 180 cm²

Front and back: 2(18 cm x 5 cm) = 180 cm²

Sides: 2(5 cm x 5 cm) = 50 cm²

Total surface area = 180 + 180 + 50 = 410 cm²

3. The surface area of the prism is:

Top and bottom: 2(5 cm x 14 cm) = 140 cm²

Front and back: 2(5 cm x 12 cm) = 120 cm²

Sides: 2(12 cm x 14 cm) = 336 cm²

Total surface area = 140 + 120 + 336 = 596 cm²

4. The surface area of the stacked cuboids is:

Top and bottom of first cuboid: 2(6 cm x 7 cm) = 84 cm²

Front and back of first cuboid: 2(6 cm x 2 cm) = 12 cm²

Sides of first cuboid: 2(7 cm x 2 cm) = 28 cm²

Front and back of second cuboid: 2(7 cm x 2 cm) = 28 cm²

Sides of second cuboid: 2(2 cm x 4 cm) = 8 cm²

Front and back of third cuboid: 2(2 cm x 10 cm) = 40 cm²

Sides of third cuboid: 2(10 cm x 8 cm) = 160 cm²

Total surface area = 84 + 12 + 28 + 28 + 8 + 40 + 160 = 360 cm²

5. The surface area of the cylinder is:

Top and bottom: 2π(6 mm)² = 72π mm²

Side: 2π(6 mm)(5 mm) = 60π mm²

Total surface area = 72π + 60π = 132π mm²

6. The surface area of the cylinder is:

Top and bottom: 2π(1 ft)² = 2π ft²

Side: 2π(1 ft)(10 ft) = 20π ft²

Total surface area = 2π + 20π = 22π ft²

7. The surface area of the cylinder stacked on a cube is:

Top and bottom of cylinder: 2π(5 m)² = 50π m²

Side of cylinder: 2π(5 m)(8 m) = 80π m²

Surface area of cube: 6(10 m x 13 m) = 780 m²

Total surface area = 50π + 80π + 780 = (130π + 780) m²

8. The surface area of the cylinder is:

Top and bottom: 2π(9 in)² = 162π in²

Side: 2π(9 in)(4 in) = 72π in²

Therefore, the total surface area of the cylinder is:

2(162π in²) + 72π in² = 396π in²

So the surface area of the cylinder is 396π square inches.

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Image transcribed:

Find the surface area of each figure.

10 ft

18 cm

5 cm

4 ft

5 ft

3.

4.

6 cm

7 cm

2 cm

5 cm

12 cm

14 cm

4 cm

10 cm

8 cm

Find the surface area of each cylinder. Leave your answer in terms of π.

5.

6 mm

6.

1 ft

5 mm

10 ft

7.

5 m

8.

4 in.

8 m

10 m

9 in.

13 m

11 m

247

Journal and Practice Workbook

Geometry

Answer:

$4.55

Step-by-step explanation:

banana: 80¢ = $0.80

apple: 25¢ = $0.25

mango: 60¢ = $0.60

4 bananas, 3 apples, and a mango =

= 4 × $0.80 + 3 × $0.25 + 1 × $0.60

= $4.55

The solutions are 1+i and 1-i of the quadratic equation x²-2x+2=0

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The quadratic formula to find solution of an equation is

x=-b±√b²-4ac/2a

The given equation is x²-2x+2=0

a=1, b=-2, c=2

x=2±√4-4(1)(2)/2(1)

x=2±√-4/2

x=2±2i/2

x=1+i, 1-i

Hence, the solutions are 1+i and 1-i of the quadratic equation x²-2x+2=0

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Answer:

-244

Step-by-step explanation:

(4)(−2)−(−2)(8)−4−248

Answer:

8

Step-by-step explanation:

ab - bc

(4)(-2) - (-2)(8)

= 8